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Solve for f. 2 – 1/4f = f – 3/4f + 3 f = ____

Solve for f.
2 – 1/4f = f – 3/4f + 3
f = ____




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To solve for ( f ) in the equation:

    [

    2 – frac{1}{4}f = f – frac{3}{4}f + 3

    ]

    First, simplify the right side:

    [

    f – frac{3}{4}f = frac{1}{4}f

    ]

    Now the equation becomes:

    [

    2 – frac{1}{4}f = frac{1}{4}f + 3

    ]

    Next, let’s combine like terms. Add (frac{1}{4}f) to both sides:

    [

    2 = frac{1}{4}f + frac{1}{4}f + 3

    ]

    This simplifies to:

    [

    2 = frac{2}{4}f + 3

    ]

    Which is:

    [

    2 = frac{1}{2}f + 3

    ]

    Now, subtract 3 from both sides:

    [

    2 – 3 = frac{1}{2}f

    ]

    This gives:

    [

    -1 = frac{1}{2}f

    ]

    Now, multiply both sides by 2 to isolate ( f ):

    [

    f = -2

    ]

    So the solution is:

    [

    f = -2

    ]

    Feel free to ask if you need further clarification!

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